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Finding the Fourth Proportional to 287,612.80, 431,548.80 and 137,795.20

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Solution

The fourth proportional to 287,612.80, 431,548.80 and 137,795.20 is: 206,754.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,612.80 : 431,548.80 = 137,795.20 : x
  2. Step 2: Convert to fraction form
    287,612.80/431,548.80 = 137,795.20/x
  3. Step 3: Cross multiply
    287,612.80x = 431,548.80 × 137,795.20
  4. Step 4: Simplify right side
    287,612.80x = 59,465,353,205.76
  5. Step 5: Solve for x
    x = 59,465,353,205.76/287,612.80
  6. Step 6: Final answer
    x = 206,754.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.